Schwinger effect and a uniformly accelerated observer

Shagun Kaushal

doi:10.1140/epjc/s10052-022-10836-6

2021 Impact factor 4.991

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 872
https://doi.org/10.1140/epjc/s10052-022-10836-6

Regular Article - Theoretical Physics

Schwinger effect and a uniformly accelerated observer

Shagun Kaushal^a

Department of Physics, Indian Institute of Technology Ropar, 140 001, Rupnagar, Punjab, India

^a 2018phz0006@iitrpr.ac.in

Received: 20 June 2022
Accepted: 23 September 2022
Published online: 5 October 2022

Abstract

This article investigates the Schwinger effect for fermions with background electric and magnetic fields of constant strengths from the point of view of a uniformly accelerated or the Rindler observer. The Dirac equation is solved in a closed form, and the field quantisation in the -dimensional Rindler spacetime is performed. The orthonormal local in and out modes for the causally disconnected right and left wedges and the Bogoliubov relations between them are obtained. Next, the global modes are constructed to cover the whole spacetime, and the Bogoliubov relationship between the local and global operators is found. Using them the squeezed state expansion of the global vacuum in terms of local states is acquired and accordingly, the spectra of created particles is found. Clearly, there are two sources of particle creation in this scenario – the Schwinger as well as the Unruh effects. Our chief aim is to investigate the role of the strength of the background electromagnetic fields on the spectra of created particles. We also discuss very briefly some possible implication of this result in the context of quantum entanglement.

© The Author(s) 2022

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